Art and design museum in the Parco Sempione. Some permanent and some rotating exhibitions. Definitely visit the Casa Lana installation and the Italian Design permanent exhibit.

One of my favorite historical building from Milano, 

Uberta Zambeletti is a storyteller, and this shop is the one truly favourite fairytale she likes to tell the most. Wander around this cabinet of curiosities and discover how to live your own fairytale through clothing; how to look cool every day, at any moment.

Cute cafe designed by Wes Anderson at the Prada Foundation. The interior is in the style of a Milanese bar from the 1950s/60s and has a good selection of sandwiches, coffee and alcoholic drinks.

Flowers lovers! Orto Botanico di Brera is an hidden treasure right in the center of Brera and near by Pinacoteca. The garden is a university and museum, there they organize events and activities for the public and schools. It has an amazing collection of flowers and medicinal plants, plus little corners where you can stop by and enjoy the silence for a bit.